The Effect of Initial Stresses on Dispersion Relations of Guided Waves in Functionally Graded Fan-Shaped Cylindrical Structures

IF 0.6 4区工程技术 Q4 MECHANICS Mechanics of Solids Pub Date : 2024-11-01 DOI:10.1134/S0025654424604026

L. N. Liu, B. Zhang, X. X. Wang, L. J. Li

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Abstract

Because of mechanical loads, thermal fields, or the limitation of the manufacturing technology, initial stresses in functionally graded (FGM) structures are inevitable in various engineering applications. In the context of “Mechanics of Incremental Deformations”, the effect of the initial stresses in the axial direction on dispersion relations of guided waves in FGM fan-shaped cylindrical structures is investigated by exploiting the double orthogonal polynomial series method. The influence of the variation in the graded function and cross-section size on the effect of initial stresses is analyzed. Results indicate that the effect of the initial stretch and compressive stresses on dispersion curves is usually (but not always) opposite. The variation in graded function and cross-section size significantly influences the effect of initial stresses on the dispersion curves, and its influence on different modes is also distinct. The obtained results provide theoretical guidance on guided wave non-destructive testing for FGM fan-shaped cylindrical structures.

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初始应力对功能梯度扇形圆柱结构中导波色散关系的影响

由于机械载荷、热场或制造技术的限制，功能梯度结构的初始应力在各种工程应用中是不可避免的。在“增量变形力学”的背景下，利用双正交多项式级数法研究了轴向初始应力对FGM扇形圆柱结构中导波频散关系的影响。分析了梯度函数和截面尺寸的变化对初始应力效应的影响。结果表明，初始拉伸应力和压缩应力对色散曲线的影响通常相反（但并不总是相反）。梯度函数和截面尺寸的变化显著影响初始应力对色散曲线的影响，其对不同模式的影响也很明显。所得结果为FGM扇形圆柱结构导波无损检测提供了理论指导。

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来源期刊

Mechanics of Solids 医学-力学

CiteScore

1.20

自引率

42.90%

发文量

112

审稿时长

6-12 weeks

期刊介绍： Mechanics of Solids publishes articles in the general areas of dynamics of particles and rigid bodies and the mechanics of deformable solids. The journal has a goal of being a comprehensive record of up-to-the-minute research results. The journal coverage is vibration of discrete and continuous systems; stability and optimization of mechanical systems; automatic control theory; dynamics of multiple body systems; elasticity, viscoelasticity and plasticity; mechanics of composite materials; theory of structures and structural stability; wave propagation and impact of solids; fracture mechanics; micromechanics of solids; mechanics of granular and geological materials; structure-fluid interaction; mechanical behavior of materials; gyroscopes and navigation systems; and nanomechanics. Most of the articles in the journal are theoretical and analytical. They present a blend of basic mechanics theory with analysis of contemporary technological problems.